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Finding the Fourth Proportional to 10,901.15, 16,310.50 and 6,461.20

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Solution

The fourth proportional to 10,901.15, 16,310.50 and 6,461.20 is: 9,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.15 : 16,310.50 = 6,461.20 : x
  2. Step 2: Convert to fraction form
    10,901.15/16,310.50 = 6,461.20/x
  3. Step 3: Cross multiply
    10,901.15x = 16,310.50 × 6,461.20
  4. Step 4: Simplify right side
    10,901.15x = 105,385,406.84
  5. Step 5: Solve for x
    x = 105,385,406.84/10,901.15
  6. Step 6: Final answer
    x = 9,667.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.